<h2>Problem 224</h2>
<div style="color:#666;font-size:80%;">26 December 2008</div><br />
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<p>Let us call an integer sided triangle with sides <var>a</var> <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> <var>b</var> <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> <var>c</var> <i>barely obtuse</i> if the sides satisfy <br /> <var>a</var><img src="" style="display:none;" alt="^(" /><sup>2</sup><img src="" style="display:none;" alt=")" /> + <var>b</var><img src="" style="display:none;" alt="^(" /><sup>2</sup><img src="" style="display:none;" alt=")" /> = <var>c</var><img src="" style="display:none;" alt="^(" /><sup>2</sup><img src="" style="display:none;" alt=")" /> - 1.</p>

<p>How many barely obtuse triangles are there with perimeter <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> 75,000,000?</p>

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